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Nikolay [14]
3 years ago
10

the area of a square sports arena is 10,000 m². What are the dimensions of the sports arena on the map? Show your work. (each ce

ntimeter represents 50 m)
Mathematics
1 answer:
ollegr [7]3 years ago
8 0

Answer:

2 cm.

Step-by-step explanation:

It is given that the area of a square sports arena is 10,000 m².

Area of a square = Square of side.

Let side of square sports arena is x m.

x^2=10000

Taking square root on both sides, we get

x=\pm \sqrt{10000}

x=\pm 100

Side length of a sports arena cannot be negative. So x=100 m.

It  is given that each centimeter in map represents 50 m.

50 m = 1 cm

Multiply both sides by 2.

100 m = 2 cm

Therefore, the dimensions of the sports arena on the map is 2 cm.

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